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Finding the Fourth Proportional to 11,043.81, 15,233.67 and 6,564.51

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Solution

The fourth proportional to 11,043.81, 15,233.67 and 6,564.51 is: 9,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,043.81 : 15,233.67 = 6,564.51 : x
  2. Step 2: Convert to fraction form
    11,043.81/15,233.67 = 6,564.51/x
  3. Step 3: Cross multiply
    11,043.81x = 15,233.67 × 6,564.51
  4. Step 4: Simplify right side
    11,043.81x = 100,001,579.05
  5. Step 5: Solve for x
    x = 100,001,579.05/11,043.81
  6. Step 6: Final answer
    x = 9,054.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.